Find the volume of the parallelepiped & tetrahedron with one vertex at the origin and adjacent vertices are at (1, 0, -3), (1, 2,4) & (5, 1, 0).

Question

Find the volume of the parallelepiped & tetrahedron with one vertex at the origin and adjacent vertices are at (1, 0, -3), (1, 2,4) & (5, 1, 0).
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Solution 1

Sure, let's start with the parallelepiped.

The volume of a parallelepiped formed by vectors a, b, and c is given by the scalar triple product of the vectors, which is the absolute value of the determinant of a 3x3 matrix formed by the vectors.

The vectors a, b, and c are given by the coordinates o Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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